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Finding the Third Proportional to 125,257.50 and 220,756.50

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Solution

The third proportional to 125,257.50 and 220,756.50 is: 389,065.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,257.50 : 220,756.50 = 220,756.50 : x
  2. Step 2: Convert to fraction form
    125,257.50/220,756.50 = 220,756.50/x
  3. Step 3: Cross multiply
    125,257.50x = 220,756.50 × 220,756.50
  4. Step 4: Simplify right side
    125,257.50x = 48,733,432,292.25
  5. Step 5: Solve for x
    x = 48,733,432,292.25/125,257.50
  6. Step 6: Final answer
    x = 389,065.98

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.